5. Linear Least Squares

A better approximation may be obtained by choosing c0, c1, and c2 to minimize the mean square error between sqrt(f) and

  g = c0 + f*(c1 + f*c2)

at a set of points. Using the points f = 0.5, 0.6, 0.7, ..., 2.0 yields:

  g = 0.38190217717175667 + f*(0.71612039556246465 - f*0.10126647163745968)